The α-core in a multi-objective game with set payoffs

Qi-Qing Song, Min Guo and Xin-Yi Chi

Mathematical Social Sciences, 2024, vol. 131, issue C, 32-39

Abstract: For the cooperative equilibria in α-core form, the balancedness and coalitionally C−security of games with usual utilities are extended to the games with discontinuous set payoffs. The existence of α−core for these games is established, which can deduce some typical results for normal form games. For continuous games, a quasi-concave-like set payoff is introduced. Based on the introduced set payoffs, the existence of α−core is also obtained. Examples are given to verify these results. Comparison with existing results in references shows that the introduced conditions are new to guarantee the existence of α−core for games with set payoffs.

Keywords: Cooperative games; Set payoffs; α-core; Multi-objective; Preferences (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matsoc:v:131:y:2024:i:c:p:32-39

DOI: 10.1016/j.mathsocsci.2024.07.001

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